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Finding the Fourth Proportional to 4,810.86, 6,629.31 and 3,130.38

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Solution

The fourth proportional to 4,810.86, 6,629.31 and 3,130.38 is: 4,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.86 : 6,629.31 = 3,130.38 : x
  2. Step 2: Convert to fraction form
    4,810.86/6,629.31 = 3,130.38/x
  3. Step 3: Cross multiply
    4,810.86x = 6,629.31 × 3,130.38
  4. Step 4: Simplify right side
    4,810.86x = 20,752,259.44
  5. Step 5: Solve for x
    x = 20,752,259.44/4,810.86
  6. Step 6: Final answer
    x = 4,313.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.